AQA Further AS Paper 1 2023 June — Question 1 1 marks

Exam BoardAQA
ModuleFurther AS Paper 1 (Further AS Paper 1)
Year2023
SessionJune
Marks1
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicHyperbolic functions
TypeExpress hyperbolic in exponential form
DifficultyEasy -2.0 This is a multiple-choice question testing direct recall of the definition tanh x = sinh x / cosh x, requiring no calculation or problem-solving. It's significantly easier than average A-level questions, which typically require multi-step working.
Spec4.07a Hyperbolic definitions: sinh, cosh, tanh as exponentials

1 Which expression below is equivalent to \(\tanh x\) ? Circle your answer. \(\sinh x \cosh x\) \(\frac { \sinh x } { \cosh x }\) \(\frac { \cosh x } { \sinh x }\) \(\sinh x + \cosh x\)

Question 1:
AnswerMarks Guidance
\(\frac{\sinh x}{\cosh x}\)B1 Circles the correct answer (AO1.2)
## Question 1:
$\frac{\sinh x}{\cosh x}$ | B1 | Circles the correct answer (AO1.2)

---
1 Which expression below is equivalent to $\tanh x$ ?

Circle your answer.\\
$\sinh x \cosh x$\\
$\frac { \sinh x } { \cosh x }$\\
$\frac { \cosh x } { \sinh x }$\\
$\sinh x + \cosh x$

\hfill \mbox{\textit{AQA Further AS Paper 1 2023 Q1 [1]}}